Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading c
oefficient. If the function is not a polynomial, state why.
F(x) = 1,050
A. This is a polynomial function of degree zero with a leading coefficient of 1,050.
B. This is not a polynomial. Horizontal lines can not be polynomials as there are no turning points.
C. This is not a polynomial. Only vertical lines of the form x = b can be classified as a polynomial.
D. This is not a polynomial because there are no variables.
Wikipedia defines polynomials as "<em>an expression consisting of variables and coefficients</em>."
You would think that F(x) would not be a polynomial, but you could think of it like this:
F(x) = 0x + 1050
So, yes, I suppose constant terms by themselves are polynomials, it's just that they only have one term and would not really be called a <em>poly</em>-nomial.
You should probably research some more just in case.
